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Finding the Third Proportional to 23,470 and 36,026

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Solution

The third proportional to 23,470 and 36,026 is: 55,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470 : 36,026 = 36,026 : x
  2. Step 2: Convert to fraction form
    23,470/36,026 = 36,026/x
  3. Step 3: Cross multiply
    23,470x = 36,026 × 36,026
  4. Step 4: Simplify right side
    23,470x = 1,297,872,676
  5. Step 5: Solve for x
    x = 1,297,872,676/23,470
  6. Step 6: Final answer
    x = 55,299.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.